Application of the differential transformation method to the free vibrations of strongly non-linear oscillators
From MaRDI portal
Publication:837678
DOI10.1016/j.nonrwa.2005.06.010zbMath1167.70328OpenAlexW1979315557MaRDI QIDQ837678
Publication date: 20 August 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.06.010
Free motions for nonlinear problems in mechanics (70K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)
Related Items (14)
Predicting homoclinic and heteroclinic bifurcation of generalized Duffing-harmonic-van der Pol oscillator ⋮ In-plane forced vibration of curved pipe conveying fluid by Green function method ⋮ Symbolic computation of strongly nonlinear periodic oscillations ⋮ Adaptive multi-step differential transformation method to solving nonlinear differential equations ⋮ On numerical solution to fractional nonlinear oscillatory equations ⋮ A Maple package of automated derivation of homotopy analysis solution for periodic nonlinear oscillations ⋮ Application of the Hamiltonian approach to nonlinear vibrating equations ⋮ Approximate analytical solutions of fractional benney-lin equation by reduced differential transform method and the homotopy perturbation method ⋮ Lateral-Torsional Buckling of Nonuniformly Loaded Beam Using Differential Transformation Method ⋮ Study on asymptotic analytical solutions using HAM for strongly nonlinear vibrations of a restrained cantilever beam with an intermediate lumped mass ⋮ Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly ⋮ A multi-step differential transform method and application to non-chaotic or chaotic systems ⋮ Application of the differential transformation method to vibration analysis of pipes conveying fluid ⋮ The spreading residue harmonic balance method for strongly nonlinear vibrations of a restrained cantilever beam
Cites Work
- Application of Taylor transformation to optimize rectangular fins with variable thermal parameters
- The solution of the Blasius equation by the differential transformation method.
- Two-dimensional differential transform for partial differential equations
- On solving some eigenvalue problems by using a differential transformation
- Transverse vibration of a rotating twisted Timoshenko beams under axial loading using differential transform
This page was built for publication: Application of the differential transformation method to the free vibrations of strongly non-linear oscillators